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Finding the Third Proportional to 364,046 and 569,834

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Solution

The third proportional to 364,046 and 569,834 is: 891,949.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,046 : 569,834 = 569,834 : x
  2. Step 2: Convert to fraction form
    364,046/569,834 = 569,834/x
  3. Step 3: Cross multiply
    364,046x = 569,834 × 569,834
  4. Step 4: Simplify right side
    364,046x = 324,710,787,556
  5. Step 5: Solve for x
    x = 324,710,787,556/364,046
  6. Step 6: Final answer
    x = 891,949.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.